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Finding the Fourth Proportional to 723.82, 1,085.73 and 176.00

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Solution

The fourth proportional to 723.82, 1,085.73 and 176.00 is: 264.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.82 : 1,085.73 = 176.00 : x
  2. Step 2: Convert to fraction form
    723.82/1,085.73 = 176.00/x
  3. Step 3: Cross multiply
    723.82x = 1,085.73 × 176.00
  4. Step 4: Simplify right side
    723.82x = 191,086.46
  5. Step 5: Solve for x
    x = 191,086.46/723.82
  6. Step 6: Final answer
    x = 264.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.